How to remove my deleted Apple ID

If you are the original owner, take the device, the original purchase receipt with the serial number, and a photo ID to the nearest Apple Store.

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or contact Apple ID Support. They will need to see the original purchase receipt/paperwork also.

Apple ID Support

Apple ID Support (2) 

Apple Support by e-mail or chat         

Apple Support using Twitter

Or fill out and submit this form.

As explained in the instructions when you began the process of requesting your AppleID be deleted, if you did not sign out of a device before the deletion request was processed, your device will be locked out to you - How to delete your Apple ID account - Apple Support

• ”Make sure that you sign out of all your devices to avoid issues with apps that use your Apple ID account or iCloud. After your account is deleted, you can't sign out of iCloud or turn off Find My iPhone Activation Lock on your devices. If you forget to sign out, you might not be able to use your device when your account is deleted.“

There is nothing Apple can do for you - that AppleID does not exist any longer. Since you did not sign out beforehand, there is no way to disassociate that login from that device now.